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1. NCERT Solutions - Mathematics, Class 6

CHAPTERS

1. Knowing Our Numbers

2. Whole Numbers

3. Playing With Numbers

4. Basic Geometrical Ideas

5. Understanding Elementary Shapes

6. Integers

7. Fractions

8. Decimals

9. Data Handling

10. Mensuration

11. Algebra

12. Ratio and Proportion

13. Symmetry

EXERCISES

1. Exercise 3.1

2. Exercise 3.2

3. Exercise 3.3

4. Exercise 3.4

5. Exercise 3.5

6. Exercise 3.6

7. Exercise 3.7

Q6) The traffic lights at three different road crossings change after every 48 seconds, 72

seconds and 108 seconds respectively. If they change simultaneously at

7 a.m., at what time will they change simultaneously again?

Q1) Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find the maximum

value of weight which can measure the weight of the fertiliser exact number of times.

Q7) Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Find

the maximum capacity of a container that can measure the diesel of the three containers

an exact number of times.

Q3) The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively.

Find the longest tape which can measure the three dimensions of the room exactly.

Q8) Find the least number which when divided by 6, 15 and 18 leave remainder 5 in each

case.

Q2) Three boys step off together from the same spot. Their steps measure 63 cm, 70 cm

and 77 cm respectively. What is the minimum distance each should cover so that all

can cover the distance in complete steps?

Q9) Find the smallest 4-digit number which is divisible by 18, 24 and 32.

Q4) Determine the smallest 3-digit number which is exactly divisible by 6, 8 and 12.

Q10) Find the LCM of the following numbers :

(a) 9 and 4 (b) 12 and 5 (c) 6 and 5 (d) 15 and 4

Q11) Find the LCM of the following numbers in which one number is the factor of the

other.

(a) 5, 20 (b) 6, 18 (c) 12, 48 (d) 9, 45

What do you observe in the results obtained?

Q5) Determine the greatest 3-digit number exactly divisible by 8, 10 and 12.

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Mathematics

NCERT Solutions - Mathematics, Class 6

Knowing Our Numbers

Whole Numbers

Playing With Numbers

Basic Geometrical Ideas

Understanding Elementary Shapes

Integers

Fractions

Decimals

Data Handling

Mensuration

Algebra

Ratio and Proportion

Symmetry

Exercise 3.1

Exercise 3.2

Exercise 3.3

Exercise 3.4

Exercise 3.5

Exercise 3.6

Exercise 3.7

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